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The infrared behavior of gluon and ghost propagators offers a crucial test of confinement scenarios in Yang-Mills theories. A nonperturbative study of these propagators from first principles is possible in lattice simulations, but one must…

High Energy Physics - Lattice · Physics 2008-09-24 Attilio Cucchieri , Tereza Mendes

Phenomenological consequences of the infrared singular, instantaneous part of the gluon propagator in Coulomb gauge are investigated. The corresponding quark Dyson-Schwinger equation is solved, neglecting retardation and transverse gluons…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , M. Kloker , A. Krassnigg , R. F. Wagenbrunn

Nonperturbative studies of the strong running coupling constant in the infrared region are discussed. Starting from the analyses of the Dyson -- Schwinger equations in the gauge sector of QCD, the conclusion is made on an incomplete fixing…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aleksey I. Alekseev

By exploiting the similarity between Bloch's theorem for electrons in crystalline solids and the problem of Landau gauge-fixing in Yang-Mills theory on a "replicated" lattice, one is able to obtain essentially infinite-volume results from…

High Energy Physics - Lattice · Physics 2017-05-17 Attilio Cucchieri , Tereza Mendes

We report on the lattice computation of the Landau gauge gluon propagator at finite temperature, including the non-zero Matsubara frequencies. Moreover, the corresponding K\"all\'en-Lehmann spectral density is computed, using a Tikhonov…

High Energy Physics - Lattice · Physics 2018-04-18 Paulo J. Silva , Orlando Oliveira , David Dudal , Martin Roelfs

We suggest a framework based on the rainbow approximation to the Dyson-Schwinger and Bethe-Salpeter equations with effective parameters adjusted to lattice QCD data to calculate the masses of the ground and excited states of pseudo-scalar…

High Energy Physics - Phenomenology · Physics 2020-08-26 L. P. Kaptari , B. Kämpfer

We present the results of a high statistics lattice study of the gluon propagator, in the Landau gauge, at $\beta=6.0$. As suggested by previous studies, we find that, in momentum space, the propagator is well described by the expression…

High Energy Physics - Lattice · Physics 2015-06-25 P. Marenzoni , G. Martinelli , N. Stella

Using lattice quantum chromodynamics (QCD) we perform an unquenched calculation of the gluon propagator in Landau gauge. We use configurations generated with the AsqTad quark action by the MILC collaboration for the dynamical quarks and…

High Energy Physics - Lattice · Physics 2008-11-26 Patrick O. Bowman , Urs M. Heller , Derek B. Leinweber , Maria B. Parappilly , Anthony G. Williams

We demonstrate how to obtain from the Schwinger-Dyson equations of QCD an infrared finite ghost propagator in the Feynman gauge. The key ingredient in this construction is the longitudinal form factor of the non-perturbative gluon-ghost…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. C. Aguilar , J. Papavassiliou

We study the Landau gauge gluon propagator at zero and finite temperature using lattice simulations. Particular attention is given to the finite size effects and to the infrared behaviour.

High Energy Physics - Lattice · Physics 2012-08-01 Orlando Oliveira , Paulo J. Silva

The calculation of the Landau gauge gluon propagator performed in Coimbra using lattice QCD simulations is reviewed. Particular attention is given to the behavior of the gluon propagator in the infrared region and the value of $D(0)$. In…

High Energy Physics - Lattice · Physics 2015-03-18 O. Oliveira , P. J. Silva , P. Bicudo

In SU(3) lattice QCD formalism, we propose a method to extract gauge fields from link-variables analytically. With this method, we perform the first study on effective mass generation of off-diagonal gluons and infrared Abelian dominance in…

High Energy Physics - Lattice · Physics 2013-05-30 Shinya Gongyo , Takumi Iritani , Hideo Suganuma

The static longitudinal and transverse gluon propagators in the Landau gauge are studied in $2+1$ lattice QCD with nonzero isospin chemical potential $\mu_I$. Parameterization of the momentum dependence of the propagators is provided for…

High Energy Physics - Lattice · Physics 2021-09-21 V. G. Bornyakov , A. A. Nikolaev , R. N. Rogalyov , A. S. Terentev

The lowest scalar and pseudoscalar glueball masses are evaluated by means of the time-dependent variational approach to the Yang-Mills gauge theory without fermions in the Hamiltonian formalism within a Gaussian wavefunctional…

High Energy Physics - Phenomenology · Physics 2012-09-03 Y. Tsue

We study the infrared behavior of the gluon propagator in lattice Landau gauge, for pure SU(2) lattice gauge theory in a three-dimensional lattice. Simulations are done for nine different values of the coupling $\beta$, from $\beta = 0$…

High Energy Physics - Lattice · Physics 2009-10-31 Attilio Cucchieri

Nonperturbative properties of gluons are studied in SU(3) lattice QCD at the quenched level. The first subject is a functional-form analysis of the gluon propagator $D_{\mu\nu}^{ab}(x)$ in the Landau gauge. We find that the gluon propagator…

High Energy Physics - Lattice · Physics 2011-07-14 Hideo Suganuma , Takumi Iritani , Arata Yamamoto , Hideaki Iida

A one parameter, model confined-gluon propagator is employed in a phenomenological application of the Dyson-Schwinger and Bethe-Salpeter equations to the calculation of a range of $\pi$- and $\rho$-meson observables. Good agreement is…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. R. Frank , C. D. Roberts

We present a novel analysis of the gluon gap equation, where its full nonlinear structure is duly taken into account. In particular, while in previous treatments the linearization of this homogeneous integral equation introduced an…

High Energy Physics - Phenomenology · Physics 2019-12-04 A. C. Aguilar , M. N. Ferreira , C. T. Figueiredo , J. Papavassiliou

This is the second of two papers devoted to the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Such a computation should enable a comparison with results from lattice simulations in order to…

High Energy Physics - Lattice · Physics 2010-10-27 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

We report on the infrared behaviour of the lattice gluon propagator. The bounds on D(0) and their behaviour with the lattice volume are investigated, together with the full propagator. Moreover, a study of the gluon propagator using…

High Energy Physics - Lattice · Physics 2010-11-05 O. Oliveira , P. J. Silva